A box in the shape of a rectangular prism has a length of x inches, a width of 0.5x inches and a height of 2x inches. The volume of the box is 1,000 cubic inches. What is the height of the box?

The answer should be 44.72 inches.

Step-by-step explanation:

In order to find the height when given the volume, use the formula V=Ah

The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2

Now, 1,000= .5x^2(h).

Take the volume and divide it by .5. This gives you 2,000.

Now the equation is 2,000=x^2 (h)

Take the square root of 2,000 and this gives you the answer of 44.72 inches.